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Finding the Fourth Proportional to 3,147, 4,341.84 and 1,967.64

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Solution

The fourth proportional to 3,147, 4,341.84 and 1,967.64 is: 2,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147 : 4,341.84 = 1,967.64 : x
  2. Step 2: Convert to fraction form
    3,147/4,341.84 = 1,967.64/x
  3. Step 3: Cross multiply
    3,147x = 4,341.84 × 1,967.64
  4. Step 4: Simplify right side
    3,147x = 8,543,178.06
  5. Step 5: Solve for x
    x = 8,543,178.06/3,147
  6. Step 6: Final answer
    x = 2,714.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.